If a card is drawn randomly from a deck of 52 cards, what is the probability that the card is
A) from the spade suit?
B) a red card?
C) a black and heart card?
D) not a king?
We'll be glad to check your answers.
A. 1/4
To find the probability, we need to determine the number of favorable outcomes and the total number of possible outcomes.
A) Probability of drawing a card from the spade suit:
In a standard deck of 52 cards, there are 13 spade cards. So, the number of favorable outcomes is 13 (spade cards), and the total number of possible outcomes is 52 (total cards in the deck). Therefore, the probability is given by:
P(spade) = favorable outcomes / total outcomes = 13 / 52 = 1/4.
B) Probability of drawing a red card:
In a standard deck of 52 cards, there are 26 red cards (13 hearts and 13 diamonds). So, the number of favorable outcomes is 26 (red cards), and the total number of possible outcomes is 52. Therefore, the probability is given by:
P(red) = favorable outcomes / total outcomes = 26 / 52 = 1/2.
C) Probability of drawing a black and heart card:
In a standard deck of 52 cards, there are 26 black cards (13 spades and 13 clubs). However, there are only 13 heart cards. So, the number of favorable outcomes is 13 (black and heart cards), and the total number of possible outcomes is 52. Therefore, the probability is given by:
P(black and heart) = favorable outcomes / total outcomes = 13 / 52 = 1/4.
D) Probability of not drawing a king:
In a standard deck of 52 cards, there are 4 kings. So, the number of favorable outcomes is 52 (total cards) - 4 (kings) = 48, and the total number of possible outcomes is 52. Therefore, the probability is given by:
P(not a king) = favorable outcomes / total outcomes = 48 / 52 = 12/13.
To calculate probabilities in general, divide the number of favorable outcomes by the total number of possible outcomes.